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Finding the Fourth Proportional to 11,771.49, 17,643.06 and 5,190.24

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Solution

The fourth proportional to 11,771.49, 17,643.06 and 5,190.24 is: 7,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.49 : 17,643.06 = 5,190.24 : x
  2. Step 2: Convert to fraction form
    11,771.49/17,643.06 = 5,190.24/x
  3. Step 3: Cross multiply
    11,771.49x = 17,643.06 × 5,190.24
  4. Step 4: Simplify right side
    11,771.49x = 91,571,715.73
  5. Step 5: Solve for x
    x = 91,571,715.73/11,771.49
  6. Step 6: Final answer
    x = 7,779.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.